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Título:
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On the converse of Tietze-Urysohn's extension theorem.
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Autores:
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Garrido, M. Isabel ;
Jaramillo Aguado, Jesús Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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Symposium of General Topology, 1999
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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From the text: "Problem A: Characterize (normal) spaces in which every C -embedded subset is closed. Problem B: Characterize (normal) spaces in which every C ? -embedded subset is closed. Our aim here is to call attention to the above problems, and provide some partial results in this line. Question C: Suppose that X and Y are completely regular spaces in which every C -embedded subset is closed. If C(X) is isomorphic to C(Y) , is then X homeomorphic to Y ? Question D: Suppose that X and Y are completely regular spaces in which every C ? -embedded subset is closed. If C ? (X) is isomorphic to C ? (Y) , is then X homeomorphic to Y ?''
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